Results 11 to 20 of about 302 (49)
Local stability of the additive functional equation and its applications
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 1, Page 15-26, 2003., 2003 The main purpose of this paper is to prove the Hyers‐Ulam stability of the additive functional equation for a large class of unbounded domains. Furthermore, by using the theorem, we prove the stability of Jensen′s functional equation for a large class of restricted domains.
Soon-Mo Jung, Byungbae Kim
wiley +1 more source
Sharp inequalities for coherent states and their optimizers
Advanced Nonlinear Studies, 2023 We are interested in sharp functional inequalities for the coherent state transform related to the Wehrl conjecture and its generalizations. This conjecture was settled by Lieb in the case of the Heisenberg group, Lieb and Solovej for SU(2), and Kulikov ...
Frank Rupert L.
doaj +1 more source
Generalized functional inequalities in Banach spaces
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we solve and investigate the generalized additive functional inequalities ‖F(∑i=1nxi)-∑i=1nF(xi)‖≤‖F(1n∑i=1nxi)-1n∑i=1nF(xi)‖\left\| {F\left( {\sum\limits_{i = 1}^n {{x_i}} } \right) - \sum\limits_{i = 1}^n {F\left( {{x_i}} \right ...
Dimou H., Aribou Y., Kabbaj S.
doaj +1 more source
On the extremals of the Pólya-Szegő inequality [PDF]
Indiana University Mathematics Journal 64(5):1447-1463 (2015), 2014 The distance of an extremal of the P\'olya-Szeg\H{o} inequality from a translate of its symmetric decreasing rearrangement is controlled by the measure of the set of critical points.
arxiv +1 more source
On the characterization of Jensen m-convex polynomials
Moroccan Journal of Pure and Applied Analysis, 2017 The main objective of this research is to characterize all the real polynomial functions of degree less than the fourth which are Jensen m-convex on the set of non-negative real numbers. In the first section, it is established for that class of functions
Lara Teodoro +3 more
doaj +1 more source
Composition iterates, Cauchy, translation, and Sincov inclusions
Acta Universitatis Sapientiae: Mathematica, 2020 Improving and extending some ideas of Gottlob Frege from 1874 (on a generalization of the notion of the composition iterates of a function), we consider the composition iterates ϕn of a relation ϕ on X, defined by ϕ0=Δx, ϕn=ϕ∘ϕn-1 if n∈, and ϕ∞=∪n=0∞
Fechner Włodzimierz, Száz Árpád
doaj +1 more source
Conditionally approximately convex functions
Demonstratio Mathematica, 2016 Let X be a real normed space, V be a subset of X and α: [0, ∞) → [0, ∞] be a nondecreasing function. We say that a function f : V → [−∞, ∞] is conditionally α-convex if for each convex combination ∑i=0ntivi$\sum\nolimits_{i = 0}^n {t_i v_i }$ of ...
Najdecki Adam, Tabor Józef
doaj +1 more source
Journal of King Saud University: Science, 2023 The discrete analysed fractional operator technique was employed to demonstrate positive findings concerning the Atangana-Baleanu and discrete Caputo-Fabrizo fractional operators.
Pshtiwan Othman Mohammed +5 more
doaj
An analysis of exponential kernel fractional difference operator for delta positivity
Nonlinear EngineeringPositivity analysis for a fractional difference operator including an exponential formula in its kernel has been examined. A composition of two fractional difference operators of order (ν,μ)\left(\nu ,\mu ) in the sense of Liouville–Caputo type operators
Mohammed Pshtiwan Othman
doaj +1 more source
A monotonicity version of a concavity theorem of Lieb [PDF]
arXiv, 2022 We give a simple proof of a strengthened version of a theorem of Lieb that played a key role in the proof of strong subadditivity of the quantum entropy.
arxiv